Real Number System
Linear Equations
Literal Equations
Inequalities
Wicked Hard
100
Indicate whether the statement is true or false
O is a whole number
What is true
100
Which of the following is the usually first step when using a general strategy for solving equations with fractions?
a. Get all variable terms on one side.
b. Multiply both sides by the LCD.
c. Use the distributive property
d. Use the multiplication property to get the variable alone.
What is b Multiply both sides by the LCD.
100
Solve the equation P=r+s+t for r.
What is P - s -t = r
100
Five girls live in the same apartment building; Mercedes (m), Shannon (s), Dyani (d), Rachel (r), and Aisha (a).
The combined ages of the girls is is greater than 74 but less than 76
What is < m + s + d + r + a < 76
100
Which of the following statements is true?
a. The sum of π/2 and π/2 is rational and the product of 1/2 and π is rational
b. The sum of π/2 and π/2 is irrational and the product of 1/2 and π is rational
c. The sum of π/2 and π/2 is rational and the product of 1/2 and π is irrational
d. The sum of π/2 and π/2 is irrational and the product of 1/2 and π is irrational
What is d a. The sum of π/2 and π/2 is irrational and the product of 1/2 and π is irrational
200
Tell which set or sets the number below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers.
What are rational and real
200
Solve the equation.
6(3y - 10 -3(2y) = 26
What is 8/3
200
Solve
Upper T=M(7+FG) for G.
(T - 7M)/FM
200
Five girls live in the same apartment building; Mercedes (m), Shannon (s), Dyani (d), Rachel (r), and Aisha (a).
What is s < m < d
200
Marvin solved this equation 4( x+5 ) = 88
Name the steps and tell why Marvin followed each step:
4( x+5 ) = 88
4x + 20 = 88
4x = 68
x = 17
What are Distributive, Subtraction Inverse Operation to isolate the variable, Division to solve for x
300
Order the following from least to greatest.
√25/√36, 1/6, 0.7
What is 1/6, 0.7, √25/√36
300
The perimeter of a geometric figure is the sum of the lengths of its sides. The perimeter of the pentagon (five-sided figure) 27 centimeters.
a. Give an equation for perimeter.
b. Solve the equation in part (a).
c. Find the length of each
side.
What is x + x + x + 3x + 3x =27
What is x = 3
What are 3 for short sides and 9 for longer sides
300
Solve the formula for h
L = 6πzh + 7πz²
What is (L-7πz²)/6πz
300
Solve the inequality.
4t - 1 ≤ -13 or 2t + 2 ≥ 12
What is t ≤ -3 or t ≥ 5
300
What is the solution set in interval notation for
2 - 4y > 14
What is (-∞ , -3)
400
Evaluate the square root
√1.69
What is 1.3
400
Two hikers are 66 miles apart and walking toward each other. They meet in 10 hours. Find the rate of each hiker if one hiker walks 4.4 mph faster than the other.
Write an equation and give the speed of the slow hiker and the fast hiker
What is 10r + 10(r + 4.4) = 66
What is the slow hiker walks 1.1 mph and the fast hiker walks 5.5 mph.
400
The formula for the volume of a cylinder is V=πr²h. The cylinder to the right has an exact volume of 490π cubic meters. Find the formula for height. Solve for height if the radius "r" is 7m
What is h = V/(πr²)
What is 10 m
400
Five more than twice a number is greater than negative fifteen.
What is the inequality and solve
What is 2n + 5 > -15
What is x > -10
400
A factory worker loaded some boxes onto a cart. Each box has the same weight. This expression represents the total weight, in pounds, of the cart and n boxes. 10n + 25
Based on this expression what is the weight of the cart
What is 25 pounds
500
Decide whether the difference represents a rational or irrational number 15/37 - √5/5
What is irrational
500
A fisherman can row upstream at 22 mph and downstream at 88 mph. He started rowing upstream until he got tired and then rowed downstream to his starting point. How far did the fisherman row if the entire trip took 7 hours?
What is +
= 7
What was 22.4 miles
500
Scientists are drilling a hole in the ocean floor to learn more about the Earth's history. Currently, the hole is in the shape of a cylinder whose volume is approximately 4400 cubic feet and whose height is 1.4 miles. V = πr²h Find the radius of the hole to the nearest hundredth of a foot. (Hint: Make sure the same units of measurement are used.) Find the formula for radius and then determine the radius of the hole to the nearest hundredth of a foot. (Hint: Make sure the same units of measurement are used.)
What is r = √V/(πh)
What is 0.44
500
In a sports poll 53% of those surveyed believe their high school football team will win the state championship. The poll show a margin of error of 0.5 % points or (5). Create and solve an absolute value inequality to find the least and greatest percentage of people that think their team will win the championship
What is|x - 53|≤ 5
48 ≤ x ≤ 58
500
Which of the following is equivalent to this expression? -5x(-6x² + 1)
a. 30x³ - 4x
b. 11x³ - 5x
c. -11x³ - 4x
b. 30x³ - 5x
What is 30x³ - 5x